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Solution to Laplace's equation in spherical co-ordinates

  1. Jul 15, 2009 #1
    I have a question about the general solution to Laplace's equation in spherical co-ordinates, which takes the form of a linear combination of the spherical harmonics. In my problem, I am solving for the potential within two concentric spherical shells, each with its own conductivity. Now, since the outer volume does not contain the origin, am I right to assume that the coefficients B_{lm} do not vanish? For the inner volume, which does contain the origin, am I right in assuming that the coefficients B_{lm} do vanish?
     
  2. jcsd
  3. Jul 15, 2009 #2

    clem

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    Yes. In between the spheres, neither A nor B vanishes.
     
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